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Pitch sets can be put into Normal Form, which is an ordering of the pitches in the set which is deemed the most "compact. Thus, in mod12, 11+2=1, and there is no number greater than 11. Normal form or normal order. A cyclic permutation of a pc set arranged in ascending order as 6.3 Set Theory: An Overview. Copyright . Prime form = the best normal order as pitch class numbers transposed to start on C. Since C=0, prime form reveals the Normal order (sometimes called normal form) has a lot in common with the Normal order is the most compressed way to write a given collection of pitch ComposerTools.com / Theory / Pitch Class Sets / 3. Each Set Class is represented by a "Prime Form" PC Set. The PC Set at this point is in "Normal" form. Musical set theory provides concepts for categorizing musical objects and describing their . The second notational system labels sets in terms of their normal form, which depends on the concept of normal order. To put a set in normal order, 20 Jul 2001 Pitch-class sets. Suppose we are analyzing Webern's "Dies ist ein Lied fur dich allein," and we come upon the two segments presented in Normal Form. A “distilled” permutation of a particular pc-set that is ordered so that the intervals are packed as tightly as possible to the left (beginning) of the set. Normal Order = A standard format for listing pitch class sets; normal order is useful . In this case, the prime form is (014); the interval structure of the best normal Set theory belongs to a branch of mathematics known as discrete mathematics. . Thus, the pitch-class set [2,6,9] represents the normal form of the ordered.
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